763020 has 72 divisors (see below), whose sum is σ = 2415504. Its totient is φ = 202176.

The previous prime is 763013. The next prime is 763027. The reversal of 763020 is 20367.

It is an interprime number because it is at equal distance from previous prime (763013) and next prime (763027).

It is a Harshad number since it is a multiple of its sum of digits (18).

It is a junction number, because it is equal to n+sod(n) for n = 762984 and 763002.

It is not an unprimeable number, because it can be changed into a prime (763027) by changing a digit.

763020 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4782 + ... + 4938.

2⁷⁶³⁰²⁰ is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 763020, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1207752).

763020 is an abundant number, since it is smaller than the sum of its proper divisors (1652484).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

763020 is a wasteful number, since it uses less digits than its factorization.

763020 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 181 (or 167 counting only the distinct ones).

The product of its (nonzero) digits is 252, while the sum is 18.

The square root of 763020 is about 873.5101602157. The cubic root of 763020 is about 91.3787698458.

Adding to 763020 its reverse (20367), we get a palindrome (783387).

The spelling of 763020 in words is "seven hundred sixty-three thousand, twenty".